if the median of the data 6,7,x-2,X,18,21 written in ascending order is 16,then the variance of that data is
Answer (1)
31st Oct, 2019
½value of [ (n/2)th + (n/2 +1) th] observations.
Median = ½[(6/2)th + (6/2 + 1) th] observations
Median = ½ [3th + 4th] observations
16 = ½ [(x - 2) + x
16 × 2 = 2x - 2
32 = 2x - 2
2x = 32 + 2
2x = 34
x = 34/2 = 17
x = 17
Hence, the value of x is 17.
Median of the data depends on the number of observations (n) .
i) If n is odd then median= value of [(n+1)/2]th observation
ii) If n is even then median= ½value of [ (n/2)th + (n/2 +1) th] observations.
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